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Comparison theorems for Brownian motions on Riemannian manifolds and their applications

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  • Ichihara, Kanji

Abstract

A global lower estimate for the transition probability of the Brownian motion on a complete Riemannian manifold is given in the form of a comparison with the transition probability of the Brownian motion on a model. This estimate is applied to obtain the laws of the iterated logarithms in the large for Brownian motion on certain Riemannian manifolds.

Suggested Citation

  • Ichihara, Kanji, 1988. "Comparison theorems for Brownian motions on Riemannian manifolds and their applications," Journal of Multivariate Analysis, Elsevier, vol. 24(2), pages 177-188, February.
    • Handle: RePEc:eee:jmvana:v:24:y:1988:i:2:p:177-188
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